Nonuniversal properties of the single-particle density of states of a one-dimensional system with electron-phonon interactions
2003; American Physical Society; Volume: 67; Issue: 15 Linguagem: Inglês
10.1103/physrevb.67.155109
ISSN1095-3795
Autores Tópico(s)Physics of Superconductivity and Magnetism
ResumoWe have calculated the single-particle density of states (DOS) for a model of spinful Tomonaga-Luttinger liquid with a frequency dependent parameter ${K}_{c}$ of the charge sector (and ${K}_{s}=1$ of spin sector). Such a frequency dependence may originate from interactions with optical phonons. The DOS exhibits a power-law suppressed asymptotic behavior near $\ensuremath{\omega}=0$ with an exponent larger than 1, in agreement with previous results. For larger frequencies, but still not far away from the origin, the DOS exhibits a peak, the position of which scales as $[{K(0)+K}^{\ensuremath{-}1}(0)]{\ensuremath{\omega}}_{0},$ where ${\ensuremath{\omega}}_{0}$ is the characteristic phonon frequency. The position of the peak decreases as the phonon's frequency becomes smaller. It is interesting that the peak of the DOS does not coincide with the characteristic phonon frequency.
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